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Finding the Fourth Proportional to 380.64, 570.72 and 137.12

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Solution

The fourth proportional to 380.64, 570.72 and 137.12 is: 205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 570.72 = 137.12 : x
  2. Step 2: Convert to fraction form
    380.64/570.72 = 137.12/x
  3. Step 3: Cross multiply
    380.64x = 570.72 × 137.12
  4. Step 4: Simplify right side
    380.64x = 78,257.13
  5. Step 5: Solve for x
    x = 78,257.13/380.64
  6. Step 6: Final answer
    x = 205.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.